In the figure ABCD is a parallelogram, CE is perpendicular to AD and BF is perpendicular to AD. If AB =12cm, AD =10cm and CE = 8cm, find BF

Dear student, 
Area of a parallelogram = (1/2) * Base * Altitude

= (1/2) * AB * CE

= (1/2) * 12 * 8

= 48

Area of a parallelogram = (1/2) * AD * BF

= (1/2) * 10 * BF

= 5 * BF

Equating both

5 * BF = 48

=> BF = 9.6  cm
Regards